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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,333 prompts matching "Laws of indices with three different bases in one line"

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Practice: Converting between index form and logarithm form

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Worked Example: Finding one over alpha plus one over beta

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Practice: Finding alpha minus beta from the sum and the product

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Explain Back: Finding alpha squared beta plus alpha beta squared

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Worked Example: Evaluating a polynomial by substitution

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Practice: Factorising a cubic completely once one factor is known

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Explain Back: Finding an unknown coefficient given that a stated factor divides the polynomial

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Worked Example: Solving a quadratic inequality by sketching the parabola

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Explain Back: Solving an inequality that involves a modulus

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Explain Back: Arrangements in which two particular objects must stay together

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Worked Example: The difference between a permutation and a combination

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Practice: Choosing a committee that must contain one particular person

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Worked Example: Solving cos x equals a negative value, and finding both solutions

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Explain Back: Solving a quadratic in sin x

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Worked Example: The midpoint formula applied to a given segment

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Explain Back: Deciding whether a point lies inside, on or outside a circle

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Practice: The ellipse in standard form, and its two axes

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Practice: A uniform beam resting on two supports

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Worked Example: Relative velocity when two bodies move along the same line

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Explain Back: The course to steer so that a boat crosses straight over

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